Invulnerability Model Of Command And Control Network Based On Complex Network

As the hinge for command and control system to transfer information and issue order,command and control network(C2 Network)is the key to win the war.With the constant improvement of battlefield information,the organizational structure of C2 network is becoming more and more complex,and the interaction of information is more frequent.C2 network shows the characteristics of heterogeneous nodes,multiple links interlaced link,and so on.It has typical complex network characteristics.At the same time,the C2 network is the primary target of the enemy attack,destroy the network will destroy the heart of the command and control system.Therefore,it is of great theoretical and military value to carry out research on the survivability of the C2 network to improve the combat effectiveness of the command and control system.C2 network has the scale-free property of the complex network,which makes the network vulnerable to intentional attacks,resulting in the original connected network topology is broken,or evens the whole network paralysis.Meanwhile,the relationship between the elements and the elements of the network charges are complicated,more complicated network charges,and become an important factor affecting the invulnerability of C2 network.Therefore,how to establish an invulnerability model for C2 networks identify key nodes of C2 network、measure the invulnerability of C2 network、construct cascade failure model of C2 network become the key problem to improve the invulnerability of C2 network.Based on this,this paper takes the complex network as the theoretical basis,and carries out the research on invulnerability model of C2 network.The main contents are as follows:(1)Research on the C2 network model for complex combat environment.In order to dynamic assess the internal mechanism and external behavior of C2 network when facing complex and confrontation environment.Firstly,this paper uses complex network theory to analyze the hierarchical structure and correlation between the constituent elements of the C2 network,proposes an edge-link strategy based on multiple attribute decision making,and establishes a model of C2 network based on complex network.Secondly,rules for add or delete nodes and edges、local world and the evolution of edge weight are set up,and this study proposes the evolution model of weighted C2 network base on local world.Finally,the simulation results show that this model has the characteristics of small world、scale-free、high command efficiency and strong invulnerability.(2)Research on the method for key nodes identification in C2 network.The traditional algorithms of the key nodes identification have the problem of high complexities,lower accuracy and limited adaptability.So,this study analysis the influence of hierarchy of C2 network on key nodes,and put forward a method of the key nodes identification in C2 network based on Level Flow Betweenness(LFB).Firstly,the definition of LFB is given out,and proposes the method of the key nodes identification based on LFB,in particular,the complexity of this method is proved theoretically.The experiments demonstrated that,this method reduces the complexity of computation,and precision of its recognition is improved at the same.(3)Research on the measure model of invulnerability for C2 network.According to the structural characteristics of C2 network and the problem that the complex network invulnerability measure is difficult to accurately evaluate the invulnerability of C2 network,based on complex network theory and OODA operation theory,this study defines the operational link to describe fighting process.In particular,puts forward the calculation method of the number of operational links based on the way of closed walks from the angle of information transmission efficiency,and proposes a measure model of invulnerability for C2 network based on the operational link efficiency,and what’s more,from the angle of structural robustness,this study proposes the importance evaluation method based on operational link betweenness,and construct a measure model of invulnerability for C2 network of based on operational link entropy.When C2 network under random or deliberate attacks,the simulations verify that the model has high sensitivity and precision from the network performance and structure,respectively,this model can better reflect the performance of C2 network invulnerability.(4)Research on the cascading failure model for C2 network.In view of the existing model of cascading failure considering only the important degree,the node itself does not consider the contribution of the neighbor nodes,which makes the initial definition of load lo accuracy and affects anti-cascade ability of the network.This study proposes a cascading model for C2 network based on M-order adjacency matrix.Firstly,this study proposes an initial load definition method based on the M-order of degree and operational link betweenness.Secondly,according to the nonlinear relationship between load and capacity,a nonlinear load capacity model is defined.Finally,this study analyzes the influence of model parameters on cascading failures of command and control networks.And the simulation results show that by defining the initial load and adjusting the coefficients properly,the cascading failures of the C2 network can be effectively prevented and the invulnerability of the network can be enhanced.